bakerj4314
14.12.2020 •
Mathematics
8 + 2 ( x - 6 ) = -2 + 2x - 2
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Ответ:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
8 + 2(x - 6) = -2 + 2x - 2
Step 2: Solve for x
Distribute 2: 8 + 2x - 12 = -2 + 2x - 2Combine like terms: 2x - 4 = 2x - 4Add 4 on both sides: 2x = 2xDivide 2 on both sides: x = xHere we see that x does indeed equal x.
∴ x = infinite amount of solutions.
Ответ:
Option (a) is correct.
3 by 3 by 1 could be the dimensions of the original prism.
Step-by-step explanation:
Given: A prism is enlarged by a factor of 4. The volume of the new prism is 576 cubic units.
We have to choose the option from the given option that could be the dimensions of the original prism.
Volume of prism = Length × width × height
Since, When A prism is enlarged by a factor of 4.
Then all its sides have been increased by a factor of 4.
The length of new prism = 4l
The width of new prism = 4w
and the height of of new prism = 4h
Then , Volume of new prism = 4L × 4w × 4h = 64 (l× w × h)
Given Volume of new prism is 576 cubic units.
576 = 64 (l× w × h)
Divide both side by 64 , we have,
9 = (l× w × h)
Thus, Out of given option only a) satisfies the product of three sides is 9
Thus, 3 by 3 by 1 could be the dimensions of the original prism.